145 research outputs found
Active influence in dynamical models of structural balance in social networks
We consider a nonlinear dynamical system on a signed graph, which can be
interpreted as a mathematical model of social networks in which the links can
have both positive and negative connotations. In accordance with a concept from
social psychology called structural balance, the negative links play a key role
in both the structure and dynamics of the network. Recent research has shown
that in a nonlinear dynamical system modeling the time evolution of
"friendliness levels" in the network, two opposing factions emerge from almost
any initial condition. Here we study active external influence in this
dynamical model and show that any agent in the network can achieve any desired
structurally balanced state from any initial condition by perturbing its own
local friendliness levels. Based on this result, we also introduce a new
network centrality measure for signed networks. The results are illustrated in
an international relations network using United Nations voting record data from
1946 to 2008 to estimate friendliness levels amongst various countries.Comment: 7 pages, 3 figures, to appear in Europhysics Letters
(http://www.epletters.net
Promoting Truthful Behaviour in Participatory-Sensing Mechanisms
In this paper, the interplay between a class of nonlinear estimators and
strategic sensors is studied in several participatory-sensing scenarios. It is
shown that for the class of estimators, if the strategic sensors have access to
noiseless measurements of the to-be-estimated-variable, truth-telling is an
equilibrium of the game that models the interplay between the sensors and the
estimator. Furthermore, performance of the proposed estimators is examined in
the case that the strategic sensors form coalitions and in the presence of
noise.Comment: IEEE Signal Processing Letters, In Pres
Secure and Private Implementation of Dynamic Controllers Using Semi-Homomorphic Encryption
This paper presents a secure and private implementation of linear
time-invariant dynamic controllers using Paillier's encryption, a
semi-homomorphic encryption method. To avoid overflow or underflow within the
encryption domain, the state of the controller is reset periodically. A control
design approach is presented to ensure stability and optimize performance of
the closed-loop system with encrypted controller.Comment: Improved numerical exampl
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